Question

What's a sine function with a period greater than the period for y=5sin(Ø/2)

Answer 1

y = A sin (@/n) n>2.

Answer 2

\[y=A \sin Bx\]
The period is given by:
\[T=\frac{2 \pi}{B}\]
Therefore for the function
\[y=5\sin (\frac{\phi}{2})\]
The period T is given by
\[T=\frac{2 \pi}{\frac{1}{2}}=4 \pi\]
Therefore if the coefficient of the angle phi is less than 1/2, T will be greater than 4pi.